5006102400 has 384 divisors, whose sum is σ = 19734674400. Its totient is φ = 1231994880.

The previous prime is 5006102393. The next prime is 5006102401. The reversal of 5006102400 is 42016005.

It is a happy number.

5006102400 is a `hidden beast` number, since 50 + 0 + 610 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5006102400² = 50122122478571520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120972 + ... + 1125428.

Almost surely, 2^5006102400 is an apocalyptic number.

5006102400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9867337200).

5006102400 is an abundant number, since it is smaller than the sum of its proper divisors (14728572000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5006102400 is a wasteful number, since it uses less digits than its factorization.

5006102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5006102400 is about 70753.8154448225. The cubic root of 5006102400 is about 1710.6713276683.

Adding to 5006102400 its reverse (42016005), we get a palindrome (5048118405).

The spelling of 5006102400 in words is "five billion, six million, one hundred two thousand, four hundred".